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agasfer [191]
3 years ago
8

Geologists in Antarctica find an average of 7 meteorite fragments in every 500 tons of gravel they sift

Mathematics
1 answer:
pav-90 [236]3 years ago
6 0

Answer:

Step-by-step explanation:

Explanation: 7 fragments =500 tons of gravel. 100 fragments = 5007⋅100=7142.86 tons of gravel.

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If x equals 3 calculate the value of 2x squared plus x
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Read 2 more answers
A cafe only sells two types of sandwiches, turkey and steak. The cafe charges $4 for turkey sandwiches and $6 for steak sandwich
valkas [14]

Answer:

513 turkey sandwiches were sold.

Step-by-step explanation:

Let's use x to represent turkey sandwiches and y to represent steak sandwiches.

x = turkey sandwiches

y = steak sandwiches

x + y = 925 total sandwiches that were sold

4x + 6y = 4524 dollars that were made

x + y = 925\\y = 925 - x

Now that we know what y (steak sandwiches) equals, we plug it in to an equation to find x.

4x + 6(925-x) = 4524\\4x + 5550 -6x=4524\\

Now, we subtract 5,550 from BOTH sides so we can get x by itself.

-2x + 5550 - 5550 = 4524 - 5550\\-2x = -1026

Next, we divide both sides by 2, so x is bare.

\frac{2x}{2} = \frac{1026}{2}

x = 513

Since x represents turkey sandwiches, we have our answer: 513 turkey sandwiches were sold.

I hope this helps! :)

3 0
3 years ago
The population of a city is modeled by the equation P(t)=232012e0.23t where t is measure in years. If the city continues to grow
Gennadij [26K]

In around 6.35 years, the population will be 1 million.

<h3> how many years will it take for the population to reach one million?</h3>

The population is modeled by the exponential equation:

P(t) = 232,012*e^{0.23*t}

Then we just need to solve the equation for t:

P(t) = 232,012*e^{0.23*t} = 1,000,000

Let's solve that:

232,012*e^{0.23*t} = 1,000,000\\\\e^{0.23*t} = 1,000,000/232,012 = 4.31\\

If we apply the natural logarithm to both sides:

ln(e^{0.23*t}) = ln(4.31)\\\\0.23*t = ln(4.31)\\\\t = ln(4.31)/0.23 = 6.35

So in around 6.35 years, the population will be 1 million.

If you want to learn more about exponential equations:

brainly.com/question/11832081

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5 0
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